All categories

2 years ago

What is x, the length of the diagonal, to the nearest

Mathematics

1 answer:

love history [14]2 years ago

8 0

The value of x, the length of the diagonal, to the nearest whole number is 5

To get the value of x from the given diagram, we will use the cosine rule as shown:

c² = a² + b² - 2ab cos Ф

From the given diagram;

a = 6

b = 4

Ф = 55 degrees

Substitute into the formula

c² = 6² + 4² - 2(4)(6)cos 55

c² = 36 + 16 - 48cos55

c² = 52 - 27.53

c² = 24.4

c = 4.94

c = 5 (to the nearest while number).

The value of x, the length of the diagonal, to the nearest whole number is 5

Learn more on cosine rule here: brainly.com/question/7872492

You might be interested in

What does the expression 5 minus n represent? (Please I need help bad.) 1.) some number more than five 2.) five more than some n

Lelechka [254]

Answer:

4) five less than some number

Step-by-step explanation:

In subtraction the number that is first matters and subtraction phrase is less than, so you can conclude that it's 4) five less than some number.

5 0

3 years ago

Read 2 more answers

Write a function defined by y = ƒ(x), subject to the condition that the value of ƒ(x) is 16 times the square root of x.

Bess [88]

16 times the square root of x:

16 * √x so f(x) = 16√x

7 0

3 years ago

Will give brainliest to the correct answer (nor links or account will be reported) :)

Setler [38]

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

4 0

3 years ago

If (3+y)/y=7, then y=<br> Please help :)

Makovka662 [10]

$\frac{\big{3+y}}{\big{y}}=7\ \ \ \Rightarrow\ \ \ D:\ y \neq 0\\\\ \frac{\big{3+y}}{\big{y}}\cdot y=7\cdot y\\\\3+y=7y\\\\y-7y=-3\\\\-6y=-3\ /:(-6)\\\\y= \frac{3}{6} \\\\y= \frac{1}{2} \ \in\ D$

3 0

3 years ago

Read 2 more answers

Rewrite f(x) = sin(x) if The function of scratch vertically by a factor of 5

adoni [48]

let's not scratch sin(x), she may not like it anyway, but let's do some stretching by checking this template

$\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ f(x)=Asin(Bx+C)+D \\\\ f(x)=Acos(Bx+C)+D\\\\ f(x)=Atan(Bx+C)+D \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\ \bullet \textit{ flips it upside-down if }A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)$

A = 1/5, so then .......... $\bf g(x)=\cfrac{1}{5}sin(x)$

7 0

3 years ago